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Tables 8. insurance benefits vary by the size of the company. The sam arge companies. For mall companies are companies that have fewer than 100 employees. Medium-sized companies have 100 to 999 employees, and large companies have 1,000 or more employees. of companies p purposes of this study, ts health l for small, medium, and questionnaire sent to 225 employees asked whether or not the employee had health Insurance and then asked the employee to indicate the size of the Size of the Company Health Insurance Small Medium Large 39 68 91 No (a) Conduct a test of State the null and alternative hypotheses. O HO: Having health insurance is not independent of the size of the company. H: The proportion of companies with health insurance benefits is not equal for small, medium and large companies. O Ho: Having health insurance is not independent of the size of the company O Ho: Having health O Ho: Having health insurance is independent of the size of the company. Ha: Having health insurance is independent of the size of the company. insurance is independent of the size of the company H, : The proportion of companies with health insurance benefits is equal for Find the value of the test What is the p-value? (Round your answer to four decimal p
O Reject Ho We conclude health insurance coverage is not independent of the size of the company O Do not reject Ho- We cannot conclude health insurance coverage is independent of the size of the company. O Reject Hor We conclude health insurance coverage is independent of the size of the company O Do not reject Ho- We cannot conclude health Insurance coverage and the size of the company are not independent. ticle indicated employees of small companies are more likely to lack health Insurance coverage. Use percentages based on the above data to support this conclusion. (Round your answers to the nearest integer.) For small companies, % do not provide health insurance. For medium companies, % do not provide health insurance. For large likely to %do not provide health insurance. These pe coverage when compared to medium and large compan ntages support the conclusion that small companies are less 9 5 6
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